201003121101300 has 144 divisors (see below), whose sum is σ = 664736995692672. Its totient is φ = 45937579161600.

The previous prime is 201003121101281. The next prime is 201003121101311. The reversal of 201003121101300 is 3101121300102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201003121101300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9876120 + ... + 22350480.

Almost surely, 2^{201003121101300} is an apocalyptic number.

201003121101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201003121101300 is an abundant number, since it is smaller than the sum of its proper divisors (463733874591372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201003121101300 is a wasteful number, since it uses less digits than its factorization.

201003121101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482058 (or 12482051 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 201003121101300 its reverse (3101121300102), we get a palindrome (204104242401402).

The spelling of 201003121101300 in words is "two hundred one trillion, three billion, one hundred twenty-one million, one hundred one thousand, three hundred".